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Finding the Third Proportional to 3,381.75 and 4,654.97

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Solution

The third proportional to 3,381.75 and 4,654.97 is: 6,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.75 : 4,654.97 = 4,654.97 : x
  2. Step 2: Convert to fraction form
    3,381.75/4,654.97 = 4,654.97/x
  3. Step 3: Cross multiply
    3,381.75x = 4,654.97 × 4,654.97
  4. Step 4: Simplify right side
    3,381.75x = 21,668,734.06
  5. Step 5: Solve for x
    x = 21,668,734.06/3,381.75
  6. Step 6: Final answer
    x = 6,407.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.